An open letter was sent to Gov. Mike Pence on Monday by nearly a dozen LGBT and civil right groups which urged him and lawmakers to fix the disputed Religious Freedom Restoration Act (RFRA) that was signed last week.

Indiana's RFRA that was signed into law on March 26 says that governments can't interfere on a person's religious rights unless it has a compelling government interest and is acting in the least intrusive way possible. Since he signed the law, several public figures and businesses have come out against it.

Indiana is facing boycotts and criticism after Pence signed the piece of legislation as it could encourage discrimination by allowing business owners to refuse service to LGBT customers in the name of 'religious freedom'.

Pence said the general assembly had no intension to create a license to discriminate services to gays, lesbians in the state. He said that the intent of the law was not to discriminate.

However, advocates for changes to the law said that if Pence didn't know this would turn into a rage, he was willfully ignorant or simply didn't care. Gay-rights advocates are pushing for amendments to the bill in order to resolve the issue.

Connecticut was the first state to officially boycott Indiana over the move. Bans have also been imposed by San Francisco and Seattle has on city-funded travel to the state.

Nine chief executive officers, including the heads of Angie's List and Eli Lilly, have written letters asking Indiana state officials to take immediate action in order to ensure the act will not encourage discrimination.

Pence said he will look for a new measure to in a bid to clarify the intent of his new law. However, he added that LGBT protections are not on his agenda.